What is the Least Common Multiple of 47409 and 47421?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 47409 and 47421 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47409 and 47421, than apply into the LCM equation.

GCF(47409,47421) = 3
LCM(47409,47421) = ( 47409 × 47421) / 3
LCM(47409,47421) = 2248182189 / 3
LCM(47409,47421) = 749394063

Least Common Multiple (LCM) of 47409 and 47421 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47409 and 47421. First we will calculate the prime factors of 47409 and 47421.

Prime Factorization of 47409

Prime Factorization of 47421

Now multiplying the highest exponent prime factors to calculate the LCM of 47409 and 47421.

LCM(47409,47421) = 3² × 15803¹ × 11¹ × 479¹
LCM(47409,47421) = 749394063